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Finding the Fourth Proportional to 25,872.30, 38,809.35 and 7,153.74

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Solution

The fourth proportional to 25,872.30, 38,809.35 and 7,153.74 is: 10,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.30 : 38,809.35 = 7,153.74 : x
  2. Step 2: Convert to fraction form
    25,872.30/38,809.35 = 7,153.74/x
  3. Step 3: Cross multiply
    25,872.30x = 38,809.35 × 7,153.74
  4. Step 4: Simplify right side
    25,872.30x = 277,631,999.47
  5. Step 5: Solve for x
    x = 277,631,999.47/25,872.30
  6. Step 6: Final answer
    x = 10,730.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.